Home
Class 12
MATHS
Let A(-2,-1),B(1,0),C(alpha,beta) and D(...

Let `A(-2,-1),B(1,0),C(alpha,beta)` and `D(gamma,delta)` be the vertices of a parallelogram `ABCD` .If the point `C` lies on `2x-y=5` and the point `D` lies on `3x-2y=6` ,then the value of `|alpha+beta+gamma+delta|` is equal to:

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2024

    JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos

Similar Questions

Explore conceptually related problems

The points (2 ,1)(3 ,-2) and (alpha ,beta) form a triangle of area 4 square units.If the point (alpha, beta) lies on the line y=x+3 then the value of alpha+beta is (are)

The points (2, 1), (3, -2) and (alpha, beta) form a triangle of area 4 square units. If the point (alpha, beta) lies on the line y=x+3 then the value of alpha+beta is (are)

The points (2, 1), (3, -2) and (alpha, beta) form a triangle of area 4 square units. If the point (alpha, beta) lies on the line y=x+3, then the value of alpha+beta is (are)

The points (2, 1), (3, -2) and ( alpha, beta ) form a triangle of area 4 square units.If the point ( alpha,beta ) lies on the line y=x+3 then the value of alpha +beta is (are)

If alpha beta gamma are roots of x^(3)+x^(2)-5x-1=0 then alpha + beta + gamma is equal to

If alpha beta gamma are the roots of x^3+x^2-5x-1=0 then alpha+beta+gamma is equal to

Let A=[(0,2),(0,0)]and (A+1)^100 -100A=[(alpha,beta),(gamma,delta)], then alpha+beta+gamma+delta=...

Let (alpha,beta,gamma) be the mirror image of the point (2,3,5) in the line (x-1)/(2)=(y-2)/(3)=(z-3)/(4) .Then, 2 alpha+3 beta+4 gamma is equal to

If alpha ,beta ,gamma are roots of x^(3)+x^(2)-5x-1=0 then [alpha] + [beta] +[ gamma ] is equal to

JEE MAINS PREVIOUS YEAR-JEE MAIN 2024 ACTUAL PAPER-Question
  1. A line passes through A(4,-6,-2) and B(16,-2,4" .The point P(a,b,c) ,w...

    Text Solution

    |

  2. Let a,b,c be the lengths of three sides of a triangle satistying the c...

    Text Solution

    |

  3. Let A(-2,-1),B(1,0),C(alpha,beta) and D(gamma,delta) be the vertices o...

    Text Solution

    |

  4. Let A={1,2,3,...........,100} .Let R be a relation on A defined by (x,...

    Text Solution

    |

  5. Let y=y(x) be the solution of the differential equation sec^(2)xdx+(e^...

    Text Solution

    |

  6. If A is a matrix of order 3 times 3 and det A = 2 and n = det ubrace((...

    Text Solution

    |

  7. If lim(x rarr0)(ax^(2)e^(x)-b log(e)(1+x)+cxe^(-x))/(x^(2)sin x)=1 ,th...

    Text Solution

    |

  8. |(120)/(pi^(3))int(0)^( pi)(x^(2)sin x cos x)/(sin^(4)x+cos^(4)x)dx| i...

    Text Solution

    |

  9. Let the coefficient of x^(r) in the expansion of (x+3)^(n-1)+(x+3)^(n-...

    Text Solution

    |

  10. Let vec a=3 hat i+2 hat j+hat k,vec b=2 hat i-hat j+3 hat k and vec c ...

    Text Solution

    |

  11. Let alpha and beta are roots of the equation px^2+qx-r=0 where pne0. I...

    Text Solution

    |

  12. If int(0)^((pi)/(3))cos^(4)xdx=a pi+b sqrt(3) ,where "a" and "b" are r...

    Text Solution

    |

  13. If "z" is a complex number such that |z| ge 1 ,then the minimum value ...

    Text Solution

    |

  14. Let the locus of the mid point of the chords of the circle x^2+(y-1)^2...

    Text Solution

    |

  15. Let "P" and "Q" be the points on the line (x+3)/(8)=(y-4)/(2)=(z+1)/(2...

    Text Solution

    |

  16. If the mirror image of the point "P(3,4,9)" in the line (x-1)/(3)=(y+1...

    Text Solution

    |

  17. Consider the relations R(1) and R(2) defined as aR(1)b hArr a^(2)+b^(2...

    Text Solution

    |

  18. If m is the coefficient of 7th term and n is the coefficient of 13th t...

    Text Solution

    |

  19. If the domain of the function f(x)=(sqrt(x^(2)-25))/((4-x^(2)))+log(10...

    Text Solution

    |

  20. The probability that Ajay will go to office is 1/5 and probability tha...

    Text Solution

    |